Least Common Multiple of 825/40, 963/42, 275/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/40, 963/42, 275/813 quickly i.e. 264825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/40, 963/42, 275/813 is 264825.

LCM(825/40, 963/42, 275/813) = 264825

LCM of 825/40, 963/42, 275/813

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 825/40,963/42,275/813

Given numbers are 825/40,963/42,275/813

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 825,963,275

Least Common Multiple of Numerators i.e. LCM of 825,963,275 is 264825.

GCF of Denominators means GCF of 40,42,813 as per the given fractions.

GCF of 40,42,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,963,275

LCM of Fractions 825/40,963/42,275/813 is 264825

3 825, 963, 275
5 275, 321, 275
5 55, 321, 55
11 11, 321, 11
1, 321, 1

∴ So the LCM of the given numbers is 3 x 5 x 5 x 11 x 1 x 321 x 1 = 264825

Least Common Multiple of 825,963,275 with GCF Formula

Least Common Multiple of 825,963,275 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 825,963,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,963,275) = 1

common factors(in case of two or more numbers have common factors) = 825

GCF(825,963,275) x common factors =1 x 825 = 825

LCM(825,963,275) = ( 825 × 963 × 275 ) / 825

LCM(825,963,275) = 218480625 / 825

LCM(825,963,275) = 264825


Lets's calculate GCF of 40,42,813

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264825/1

Therefore the LCM of Fractions 825/40,963/42,275/813 is 264825

Greatest Common Factor of 40,42,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,42,813 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 40,42,813 . The biggest common factor number is the GCF number.
So the greatest common factor 40,42,813 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 825/40, 963/42, 275/813

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 825/40, 963/42, 275/813?

Answer: LCM of Numerators as per given numbers 825/40, 963/42, 275/813 is

LCM of Numerators i.e. for 825,963,275 is 264825

GCF of denominators i.e. for 40,42,813 is 1.

Thus, LCM of Fractions is 264825.Finally, LCM of Fractions for 825/40, 963/42, 275/813 is 264825.